Question

Algebra 2 Word Problem: Set up using 3 variables & 3 equations:
"Heather downloaded some television shows. A sitcom uses 0.3gb of memory, a drama .06gb, and a talk show 0.6gb. She downloaded 7 programs totaling 3.6gb. There were twice as many episodes of the drama as the sitcom."
A: Write a system of equations for the number of episodes of each type of show.
B: How many episodes of each show did she download?

Answer 1

let:
s= #sitcoms
d= #drama
t= #talk shows

so 1 equation can be: s + d + t = 7
try to get the other two....

Answer 2

that's the easy one. I got that one

Answer 3

eq 2: 0.3s+0.6d+0.6t=3.6

Answer 4

I'm not sure about eq3

Answer 5

eq3 is from this statement: "There were twice as many episodes of the drama as the sitcom."

Answer 6

2d -s=t?

Answer 7

no... there should be no "t" for this equation...

Answer 8

I'm not sure what to do then

Answer 9

"There were twice as many episodes of the drama as the sitcom." means if I multiply 2*(#sitcoms) that will give me the number of dramas....
does that sound right to you?

Answer 10

d = 2s

Answer 11

ie, 2*s = d ??

Answer 12

yes... :)

Answer 13

I just got it before you explained it. Ok let me figure out

Answer 14

notice you can rewrite that as 2s - d = 0

Answer 15

OK I GOT IT. s=2, d=4, t=1

Answer 16

Thank you so very much for you help with this. I'm sure I will be posting more questions. I am sick and missed school so I'm catching up work to get ready for midterm

Answer 17

wait...
is that the correct solution?

Answer 18

oopss.. my bad... that is the correct solution.... :)

Answer 19

good luck on your midterm....
yw... :)